Answer:
Perimeter of the rectangle is 16x+18 units.
Step-by-step explanation:
The area of rectangle is
First we have to find the factor form of above expression.
Splitting the middle term, we get
Area of a rectangle is the product of its dimensions. It means dimensions of the rectangle are (x+8) and (7x+1).
Perimeter of a rectangle is
![Perimeter=2[(x+8)+(7x+1)]](https://tex.z-dn.net/?f=Perimeter%3D2%5B%28x%2B8%29%2B%287x%2B1%29%5D)
![Perimeter=2[8x+9]](https://tex.z-dn.net/?f=Perimeter%3D2%5B8x%2B9%5D)
Therefore, the perimeter of the rectangle is 16x+18 units.
If you have a graphing calculator, you can simply type it into y= and it will graph it for you. But if you need coordinates, the line runs through (0,2) , (4,5) , and (-4,1)
Answer:
Exponential
Step-by-step explanation:
<em>Starter:</em>
According to the title:
"Every day, half a bacteria population dies."
Exponential: y = ab^x ( b > 0 , b ≠ 1)
So the answer is C.
<em>Calculations:</em>
An exponential model is of the form y = a • b^t.
If you start with population of 500 million bacteria
t = 0
so 500 million = a • b^0 = a
Since every day half the population dies then in 1 day population will be 250 million
so a = 500 million, y = 250 million and t = 1
250 million = 500 million • b^1
b = 0.5
Therefore your equation would be
y = 500 million (or whatever the pop) • 0.5^t
Where t = number of days
This could also be written in exponential form ( e = 2.73)
You start by finding the total sq ft you need to cover so one board is 8x3 so that's 24 then multiply that by the number of boards which is 12 so you get 288 sq ft you need to cover. Then you divide by 125 which is how much one can could cover and you get 2.3 cans but you can't buy a third of a can do you round up to three. The three cans times the price of 3.50 gives you $10.50 as your final answer
Answer:
-x^2 - 20x -4 = 0
Step-by-step explanation:
I assume you meant (x-8)(2x+3) = (3x-5)(x+4).
Perform the two indicated multiplications and then combine like terms:
2x^2 + 3x - 16x - 24 = 3x^2 + 12x - 5x - 20
Combine the x terms on each side:
2x^2 - 13x - 24 = 3x^2 + 7x - 20
Subtract 3x^2 from both sides:
-x^2 - 13x - 24 = 7x - 20
Subtract 7x from both sides:
-x^2 - 20x - 24 = -20
Add 20 to both sides:
-x^2 - 20x -4 = 0 This is the desired quadratic equation.
